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Finding the Fourth Proportional to 13,882.74, 20,811.50 and 7,211.44

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Solution

The fourth proportional to 13,882.74, 20,811.50 and 7,211.44 is: 10,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.74 : 20,811.50 = 7,211.44 : x
  2. Step 2: Convert to fraction form
    13,882.74/20,811.50 = 7,211.44/x
  3. Step 3: Cross multiply
    13,882.74x = 20,811.50 × 7,211.44
  4. Step 4: Simplify right side
    13,882.74x = 150,080,824.06
  5. Step 5: Solve for x
    x = 150,080,824.06/13,882.74
  6. Step 6: Final answer
    x = 10,810.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.